1 8.1: Integration by PartsRecall the Product Rule for Derivatives (use u, v du, and dv):d(uv) =Integrate both sides and solve forˆu dv:Thereforeˆu dv =This formula is the key to Integration by Parts. The key is to choose what part of the integral isto be u and what part is to be dv.Examples:ˆx2e−3xdx =1Use integration by parts to evaluateˆ10x3√x2+ 1dxˆln xx3dx =2ˆeaxcos(bx) dx
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